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Finding the Third Proportional to 345,392 and 743,271

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Solution

The third proportional to 345,392 and 743,271 is: 1,599,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,392 : 743,271 = 743,271 : x
  2. Step 2: Convert to fraction form
    345,392/743,271 = 743,271/x
  3. Step 3: Cross multiply
    345,392x = 743,271 × 743,271
  4. Step 4: Simplify right side
    345,392x = 552,451,779,441
  5. Step 5: Solve for x
    x = 552,451,779,441/345,392
  6. Step 6: Final answer
    x = 1,599,492.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.